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13 January, 08:53

A boy sledding down a hill accelerates at 1.40 m/s². If

he started from rest, in what distance would he reach

a speed of 7.00 m/s?

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Answers (1)
  1. 13 January, 09:16
    0
    Answer: He would reach 7m/s at the distance of 17,5m.

    Explanation: In order for us to know how long it takes for the speed to be reached, we use the equation V = Vo + at, with V=7m/s, Vo = 0m/s since you start from rest and a=1.4m/s². T is the time in seconds that we want to find out.

    7 = 0 + 1.4t

    7 = 1.4t

    t = 5s

    Now, we want to know the distance this boy reaches in 5 seconds, in a 7m/s speed and accelarating in 1.4m/s². For finding this out, we use another equation, S = So + Vot + (at²) / 2, S being the final distance, So = 0m because he started from rest, and the other variables used before.

    S = 0 + 0*5 + [1.4 * (5²) ]/2

    S = 0 + 0 + (1.4*25) / 2

    S = 35/2

    S = 17,5m
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